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Finding the Fourth Proportional to 208,280.97, 312,211.08 and 82,009.82

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Solution

The fourth proportional to 208,280.97, 312,211.08 and 82,009.82 is: 122,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,280.97 : 312,211.08 = 82,009.82 : x
  2. Step 2: Convert to fraction form
    208,280.97/312,211.08 = 82,009.82/x
  3. Step 3: Cross multiply
    208,280.97x = 312,211.08 × 82,009.82
  4. Step 4: Simplify right side
    208,280.97x = 25,604,375,253.33
  5. Step 5: Solve for x
    x = 25,604,375,253.33/208,280.97
  6. Step 6: Final answer
    x = 122,931.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.